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                [2010 Beijing wc]纸箱堆叠                 </h1>
                <p>时间限制：30s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><p>P 工厂是一个生产纸箱的工厂。纸箱生产线在人工输入三个参数 n p a , , 之后，<br />
即可自动化生产三边边长为</p>
<p>(a mod P,a^2 mod p,a^3 mod P)<br />
(a^4 mod p,a^5 mod p,a^6 mod P)<br />
....<br />
(a^(3n-2) mod p,a^(3n-1) mod p,a^(3n) mod p)</p>
<p>的n个纸箱。在运输这些纸箱时，为了节约空间，必须将它们嵌套堆叠起来。<br />
一个纸箱可以嵌套堆叠进另一个纸箱当且仅当它的最短边、次短边和最长边<br />
长度分别严格小于另一个纸箱的最短边、次短边和最长边长度。这里不考虑<br />
任何旋转后在对角线方向的嵌套堆叠。 <br />
你的任务是找出这n个纸箱中数量最多的一个子集，使得它们两两之间都可<br />
嵌套堆叠起来。</p></p><hr/><h3>输入格式</h3><p><p>输入文件的第一行三个整数，分别代表&nbsp;a,p,n&nbsp;&nbsp;<br />
</p></p><hr/><h3>输出格式</h3><p><p>&nbsp;<br />
输出文件仅包含一个整数，代表数量最多的可嵌套堆叠起来的纸箱的个数。</p></p><hr/><h3>样例输入</h3><pre> 10 17 4 
</pre><hr/><h3>样例输出</h3><pre> 
2 
【样例说明】 
生产出的纸箱的三边长为(10, 15, 14), (4, 6, 9) , (5, 16, 7), (2, 3, 13)。其中只有
(4, 6, 9)可堆叠进(5, 16, 7)，故答案为 2。
2<=P<=2000000000,1<=a<=p-1,a^k mod p<>0,ap<=2000000000,1<=N<=50000 </pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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